Least Common Multiple of 596/870, 988/816, 462/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/870, 988/816, 462/819 quickly i.e. 11335324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/870, 988/816, 462/819 is 11335324.

LCM(596/870, 988/816, 462/819) = 11335324

LCM of 596/870, 988/816, 462/819

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 596/870,988/816,462/819

Given numbers are 596/870,988/816,462/819

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 596,988,462

Least Common Multiple of Numerators i.e. LCM of 596,988,462 is 34005972.

GCF of Denominators means GCF of 870,816,819 as per the given fractions.

GCF of 870,816,819 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,988,462

LCM of Fractions 596/870,988/816,462/819 is 11335324

2 596, 988, 462
2 298, 494, 231
149, 247, 231

∴ So the LCM of the given numbers is 2 x 2 x 149 x 247 x 231 = 34005972

Least Common Multiple of 596,988,462 with GCF Formula

Least Common Multiple of 596,988,462 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 596,988,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,988,462) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(596,988,462) x common factors =2 x 4 = 8

LCM(596,988,462) = ( 596 × 988 × 462 ) / 8

LCM(596,988,462) = 272047776 / 8

LCM(596,988,462) = 34005972


Lets's calculate GCF of 870,816,819

3 870, 816, 819
290, 272, 273

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34005972/3

Therefore the LCM of Fractions 596/870,988/816,462/819 is 11335324

Greatest Common Factor of 870,816,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,816,819 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 870,816,819 . The biggest common factor number is the GCF number.
So the greatest common factor 870,816,819 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 596/870, 988/816, 462/819

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 596/870, 988/816, 462/819?

Answer: LCM of Numerators as per given numbers 596/870, 988/816, 462/819 is

LCM of Numerators i.e. for 596,988,462 is 34005972

GCF of denominators i.e. for 870,816,819 is 3.

Thus, LCM of Fractions is 11335324.Finally, LCM of Fractions for 596/870, 988/816, 462/819 is 11335324.